On Some Aspects Of Stochastic Differential And difference Equatins And Applications
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Date
2024
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Faculty of Sciences
Abstract
This dissertation addresses mathematical notion and the properties concerning stochastic processes and some importante example that we needed to build a irreplaceable concepts and here we are talking about stocastic calculus which depends primarily on Itô calculus including Itô integral and Itô formula, down to one of the most essential points stochastic differential equation, these equation are a generalization of deterministic differential equations that incorporate some randomness into continuous-time systems, and for discrete-time systems we deal with stochastic difference equations, and by integrating stochastic elements, these systems can achieve stability under conditions where deterministic models might fail.